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基于D分解的分數階PID控制器的圖形化參數整定
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湘潭大學(xué)

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國家重點(diǎn)基礎研究發(fā)展計劃(973計劃)


Graphical parameter tuning of fractional order PID controller based on D decomposition
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    摘要:

    針對二自由度分數階PID控制器設計的參數多,結構復雜等復雜問(wèn)題,提出了一種基于D分解法和主導極點(diǎn)配置的新型參數整定方法。其基本原理首先基于動(dòng)態(tài)響應指標約束進(jìn)行主導極點(diǎn)配置,在確保閉環(huán)系統的響應特性良好的條件下確定系統超調量和調節時(shí)間,由此經(jīng)過(guò)轉換得到未知參數之間的函數關(guān)系。其次,使用D分解法,將未知參數在不影響的控制性能的條件下由多減少,再由相關(guān)參數取得系統性能穩定的參數域中優(yōu)化,最后以差分進(jìn)化算法為導向,以?xún)煞N方法取得的相關(guān)約束條件為指標取得最優(yōu)控制器參數,在確保所選極點(diǎn)的優(yōu)勢下使所設計的控制器達到理想的控制性能。最終,將所設計的控制器通過(guò)應用在整數階和分數階被控對象上,使用仿真驗證新方法的魯棒性和快速性,同時(shí)也表現了新方法的有效性和實(shí)用性。

    Abstract:

    In this paper, a new parameter tuning method based on D decomposition method and dominant pole placement is proposed for the complex problems such as design parameters of two-degree-of-freedom fractional PID controllers and complicated structure. The basic principle is to first configure the dominant pole based on dynamic response index constraints, and to determine the system overshoot and adjustment time under the condition of ensuring good response characteristics of the closed-loop system, and then obtain the functional relationship between unknown parameters through conversion. Secondly, the D decomposition method is used to reduce the unknown parameters by more than one without affecting the control performance, and then optimize the related parameters to obtain stable system performance in the parameter domain. Finally, guided by the differential evolution algorithm, the two methods are used. The relevant constraint condition for the index is to obtain the optimal controller parameters, and the designed controller can achieve the desired control performance under the advantage of ensuring the selected pole. Finally, the designed controller is applied to the integer and fractional order controlled objects, and the simulation is used to verify the robustness and rapidity of the new method. At the same time, it also shows the effectiveness and practicability of the new method.

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陳思溢,牛旭.基于D分解的分數階PID控制器的圖形化參數整定計算機測量與控制[J].,2020,28(12):99-103.

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歷史
  • 收稿日期:2020-04-30
  • 最后修改日期:2020-05-26
  • 錄用日期:2020-05-27
  • 在線(xiàn)發(fā)布日期: 2020-12-15
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